| Label |
Cremona label |
Class |
Cremona class |
Class size |
Class degree |
Conductor |
Discriminant |
Rank |
Torsion |
$\textrm{End}^0(E_{\overline\Q})$ |
CM |
Sato-Tate |
Semistable |
Potentially good |
Nonmax $\ell$ |
$\ell$-adic images |
mod-$\ell$ images |
Adelic level |
Adelic index |
Adelic genus |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
$abc$ quality |
Szpiro ratio |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
| 299538.a1 |
299538a2 |
299538.a |
299538a |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( - 2^{2} \cdot 3^{12} \cdot 43^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$516$ |
$128$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2830464$ |
$1.832100$ |
$-35937/4$ |
$1.00607$ |
$3.68089$ |
$[1, -1, 0, -102966, 13912136]$ |
\(y^2+xy=x^3-x^2-102966x+13912136\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 129.8.0.?, 172.16.0.?, $\ldots$ |
$[]$ |
| 299538.a2 |
299538a1 |
299538.a |
299538a |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( - 2^{6} \cdot 3^{4} \cdot 43^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$516$ |
$128$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$943488$ |
$1.282793$ |
$109503/64$ |
$1.28549$ |
$3.05832$ |
$[1, -1, 0, 7974, -29324]$ |
\(y^2+xy=x^3-x^2+7974x-29324\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 129.8.0.?, 172.16.0.?, $\ldots$ |
$[]$ |
| 299538.b1 |
299538b1 |
299538.b |
299538b |
$1$ |
$1$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( 2^{20} \cdot 3^{4} \cdot 43^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$172$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$19514880$ |
$2.733376$ |
$329141032560513/45088768$ |
$0.98899$ |
$4.78899$ |
$[1, -1, 0, -11507598, -15020713644]$ |
\(y^2+xy=x^3-x^2-11507598x-15020713644\) |
172.2.0.? |
$[]$ |
| 299538.c1 |
299538c1 |
299538.c |
299538c |
$1$ |
$1$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( - 2^{3} \cdot 3^{10} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$344$ |
$2$ |
$0$ |
$21.42113994$ |
$1$ |
|
$0$ |
$2794176$ |
$1.961725$ |
$-9/344$ |
$0.99965$ |
$3.71520$ |
$[1, -1, 0, -3120, -17239816]$ |
\(y^2+xy=x^3-x^2-3120x-17239816\) |
344.2.0.? |
$[(1693748899/1359, 67612446343781/1359)]$ |
| 299538.d1 |
299538d4 |
299538.d |
299538d |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( - 2^{7} \cdot 3^{12} \cdot 43^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$21672$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$10240020$ |
$2.699276$ |
$-189613868625/128$ |
$1.12596$ |
$4.89443$ |
$[1, -1, 0, -17925477, 29216021525]$ |
\(y^2+xy=x^3-x^2-17925477x+29216021525\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.4, 24.8.0.a.1, $\ldots$ |
$[]$ |
| 299538.d2 |
299538d3 |
299538.d |
299538d |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( - 2^{21} \cdot 3^{4} \cdot 43^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$21672$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$3413340$ |
$2.149967$ |
$-1159088625/2097152$ |
$1.11235$ |
$3.90563$ |
$[1, -1, 0, -175077, 57321109]$ |
\(y^2+xy=x^3-x^2-175077x+57321109\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[]$ |
| 299538.d3 |
299538d1 |
299538.d |
299538d |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( - 2^{3} \cdot 3^{4} \cdot 43^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$21672$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$487620$ |
$1.177013$ |
$-140625/8$ |
$1.17810$ |
$3.08559$ |
$[1, -1, 0, -8667, -323315]$ |
\(y^2+xy=x^3-x^2-8667x-323315\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.3, 24.8.0.a.1, $\ldots$ |
$[]$ |
| 299538.d4 |
299538d2 |
299538.d |
299538d |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( - 2 \cdot 3^{12} \cdot 43^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$21672$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$1462860$ |
$1.726318$ |
$3375/2$ |
$1.42657$ |
$3.47936$ |
$[1, -1, 0, 46803, -615457]$ |
\(y^2+xy=x^3-x^2+46803x-615457\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.2, 24.8.0.a.1, $\ldots$ |
$[]$ |
| 299538.e1 |
299538e1 |
299538.e |
299538e |
$1$ |
$1$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$172$ |
$2$ |
$0$ |
$5.348528998$ |
$1$ |
|
$0$ |
$4257792$ |
$2.269699$ |
$27437625/11008$ |
$0.85787$ |
$4.01909$ |
$[1, -1, 0, -452427, 64983365]$ |
\(y^2+xy=x^3-x^2-452427x+64983365\) |
172.2.0.? |
$[(34198/3, 6176135/3)]$ |
| 299538.f1 |
299538f1 |
299538.f |
299538f |
$1$ |
$1$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 43^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$172$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12418560$ |
$2.738960$ |
$4935129584625/2352135088$ |
$0.99337$ |
$4.45591$ |
$[1, -1, 0, -2837637, -772066331]$ |
\(y^2+xy=x^3-x^2-2837637x-772066331\) |
172.2.0.? |
$[]$ |
| 299538.g1 |
299538g1 |
299538.g |
299538g |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( - 2^{6} \cdot 3^{4} \cdot 43^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$258$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6386688$ |
$2.172245$ |
$-1742419004625/2752$ |
$0.95511$ |
$4.37335$ |
$[1, -1, 0, -2005587, -1092727307]$ |
\(y^2+xy=x^3-x^2-2005587x-1092727307\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 86.2.0.?, 129.8.0.?, 258.16.0.? |
$[]$ |
| 299538.g2 |
299538g2 |
299538.g |
299538g |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( - 2^{2} \cdot 3^{12} \cdot 43^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$258$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$19160064$ |
$2.721554$ |
$-100544625/318028$ |
$0.91649$ |
$4.44435$ |
$[1, -1, 0, -1450887, -1710078823]$ |
\(y^2+xy=x^3-x^2-1450887x-1710078823\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 86.2.0.?, 129.8.0.?, 258.16.0.? |
$[]$ |
| 299538.h1 |
299538h1 |
299538.h |
299538h |
$1$ |
$1$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( - 2 \cdot 3^{12} \cdot 43^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$344$ |
$2$ |
$0$ |
$49.96167966$ |
$1$ |
|
$0$ |
$14303520$ |
$2.656975$ |
$-27/2$ |
$0.87518$ |
$4.37667$ |
$[1, -1, 0, -402504, -1116244738]$ |
\(y^2+xy=x^3-x^2-402504x-1116244738\) |
344.2.0.? |
$[(3158761167976330741457/1566516299, 83240331606938942539349520095438/1566516299)]$ |
| 299538.i1 |
299538i1 |
299538.i |
299538i |
$1$ |
$1$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( - 2 \cdot 3^{6} \cdot 43^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$344$ |
$2$ |
$0$ |
$2.386637712$ |
$1$ |
|
$6$ |
$110880$ |
$0.227070$ |
$-27/2$ |
$0.87518$ |
$2.06431$ |
$[1, -1, 0, -24, -514]$ |
\(y^2+xy=x^3-x^2-24x-514\) |
344.2.0.? |
$[(11, 16), (25, 106)]$ |
| 299538.j1 |
299538j1 |
299538.j |
299538j |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( - 2^{21} \cdot 3^{4} \cdot 43^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1032$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$8382528$ |
$2.455734$ |
$-9920726433/90177536$ |
$1.08691$ |
$4.18679$ |
$[1, -1, 0, -358128, -337087232]$ |
\(y^2+xy=x^3-x^2-358128x-337087232\) |
3.4.0.a.1, 24.8.0-3.a.1.6, 129.8.0.?, 344.2.0.?, 1032.16.0.? |
$[]$ |
| 299538.j2 |
299538j2 |
299538.j |
299538j |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( - 2^{7} \cdot 3^{12} \cdot 43^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1032$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$25147584$ |
$3.005039$ |
$1070599167/10176896$ |
$0.96865$ |
$4.70088$ |
$[1, -1, 0, 3191952, 8620237952]$ |
\(y^2+xy=x^3-x^2+3191952x+8620237952\) |
3.4.0.a.1, 24.8.0-3.a.1.5, 129.8.0.?, 344.2.0.?, 1032.16.0.? |
$[]$ |
| 299538.k1 |
299538k1 |
299538.k |
299538k |
$1$ |
$1$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( - 2^{8} \cdot 3^{4} \cdot 43^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2838528$ |
$1.705374$ |
$3221199/11008$ |
$0.94599$ |
$3.45259$ |
$[1, -1, 0, 24615, 3285933]$ |
\(y^2+xy=x^3-x^2+24615x+3285933\) |
86.2.0.? |
$[]$ |
| 299538.l1 |
299538l1 |
299538.l |
299538l |
$1$ |
$1$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( 2^{10} \cdot 3^{6} \cdot 43^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$172$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17709120$ |
$2.736786$ |
$47832147/1024$ |
$1.13324$ |
$4.60949$ |
$[1, -1, 0, -5411445, -4753451467]$ |
\(y^2+xy=x^3-x^2-5411445x-4753451467\) |
172.2.0.? |
$[]$ |
| 299538.m1 |
299538m1 |
299538.m |
299538m |
$1$ |
$1$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( 2^{10} \cdot 3^{12} \cdot 43^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$172$ |
$2$ |
$0$ |
$6.386453756$ |
$1$ |
|
$0$ |
$1235520$ |
$1.405491$ |
$47832147/1024$ |
$1.13324$ |
$3.34260$ |
$[1, -1, 0, -26340, -1608112]$ |
\(y^2+xy=x^3-x^2-26340x-1608112\) |
172.2.0.? |
$[(-26104/17, 1044044/17)]$ |
| 299538.n1 |
299538n1 |
299538.n |
299538n |
$1$ |
$1$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( - 2^{8} \cdot 3^{10} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1.042796547$ |
$1$ |
|
$4$ |
$8515584$ |
$2.254681$ |
$3221199/11008$ |
$0.94599$ |
$3.97533$ |
$[1, -1, 1, 221533, -88941725]$ |
\(y^2+xy+y=x^3-x^2+221533x-88941725\) |
86.2.0.? |
$[(613, 16334)]$ |
| 299538.o1 |
299538o1 |
299538.o |
299538o |
$1$ |
$1$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( 2^{10} \cdot 3^{12} \cdot 43^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$172$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$53127360$ |
$3.286091$ |
$47832147/1024$ |
$1.13324$ |
$5.13223$ |
$[1, -1, 1, -48703007, 128391892615]$ |
\(y^2+xy+y=x^3-x^2-48703007x+128391892615\) |
172.2.0.? |
$[]$ |
| 299538.p1 |
299538p1 |
299538.p |
299538p |
$1$ |
$1$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( 2^{10} \cdot 3^{6} \cdot 43^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$172$ |
$2$ |
$0$ |
$0.400058926$ |
$1$ |
|
$6$ |
$411840$ |
$0.856184$ |
$47832147/1024$ |
$1.13324$ |
$2.81986$ |
$[1, -1, 1, -2927, 60535]$ |
\(y^2+xy+y=x^3-x^2-2927x+60535\) |
172.2.0.? |
$[(11, 166)]$ |
| 299538.q1 |
299538q2 |
299538.q |
299538q |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( - 2^{21} \cdot 3^{10} \cdot 43^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1032$ |
$16$ |
$0$ |
$0.663372037$ |
$1$ |
|
$16$ |
$25147584$ |
$3.005039$ |
$-9920726433/90177536$ |
$1.08691$ |
$4.70952$ |
$[1, -1, 1, -3223154, 9104578417]$ |
\(y^2+xy+y=x^3-x^2-3223154x+9104578417\) |
3.4.0.a.1, 24.8.0-3.a.1.5, 129.8.0.?, 344.2.0.?, 1032.16.0.? |
$[(16609, 2121743), (-120359/11, 142309501/11)]$ |
| 299538.q2 |
299538q1 |
299538.q |
299538q |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( - 2^{7} \cdot 3^{6} \cdot 43^{9} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1032$ |
$16$ |
$0$ |
$5.970348337$ |
$1$ |
|
$6$ |
$8382528$ |
$2.455734$ |
$1070599167/10176896$ |
$0.96865$ |
$4.17815$ |
$[1, -1, 1, 354661, -319386293]$ |
\(y^2+xy+y=x^3-x^2+354661x-319386293\) |
3.4.0.a.1, 24.8.0-3.a.1.6, 129.8.0.?, 344.2.0.?, 1032.16.0.? |
$[(1817, 78598), (29574713/88, 161005313311/88)]$ |
| 299538.r1 |
299538r1 |
299538.r |
299538r |
$1$ |
$1$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( - 2 \cdot 3^{6} \cdot 43^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$344$ |
$2$ |
$0$ |
$15.79714293$ |
$1$ |
|
$0$ |
$4767840$ |
$2.107670$ |
$-27/2$ |
$0.87518$ |
$3.85394$ |
$[1, -1, 1, -44723, 41357305]$ |
\(y^2+xy+y=x^3-x^2-44723x+41357305\) |
344.2.0.? |
$[(6542471/58, 16489460827/58)]$ |
| 299538.s1 |
299538s1 |
299538.s |
299538s |
$1$ |
$1$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( - 2 \cdot 3^{12} \cdot 43^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$344$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$332640$ |
$0.776377$ |
$-27/2$ |
$0.87518$ |
$2.58704$ |
$[1, -1, 1, -218, 14095]$ |
\(y^2+xy+y=x^3-x^2-218x+14095\) |
344.2.0.? |
$[]$ |
| 299538.t1 |
299538t3 |
299538.t |
299538t |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( - 2^{7} \cdot 3^{6} \cdot 43^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$21672$ |
$768$ |
$21$ |
$1$ |
$9$ |
$3$ |
$0$ |
$3413340$ |
$2.149967$ |
$-189613868625/128$ |
$1.12596$ |
$4.37170$ |
$[1, -1, 1, -1991720, -1081410965]$ |
\(y^2+xy+y=x^3-x^2-1991720x-1081410965\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.4, 24.8.0.a.1, $\ldots$ |
$[]$ |
| 299538.t2 |
299538t4 |
299538.t |
299538t |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( - 2^{21} \cdot 3^{10} \cdot 43^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$21672$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$10240020$ |
$2.699276$ |
$-1159088625/2097152$ |
$1.11235$ |
$4.42836$ |
$[1, -1, 1, -1575695, -1546094249]$ |
\(y^2+xy+y=x^3-x^2-1575695x-1546094249\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.1, 24.8.0.a.1, $\ldots$ |
$[]$ |
| 299538.t3 |
299538t2 |
299538.t |
299538t |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( - 2^{3} \cdot 3^{10} \cdot 43^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$21672$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$1462860$ |
$1.726318$ |
$-140625/8$ |
$1.17810$ |
$3.60832$ |
$[1, -1, 1, -78005, 8807509]$ |
\(y^2+xy+y=x^3-x^2-78005x+8807509\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.3, 24.8.0.a.1, $\ldots$ |
$[]$ |
| 299538.t4 |
299538t1 |
299538.t |
299538t |
$4$ |
$21$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( - 2 \cdot 3^{6} \cdot 43^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 7$ |
8.2.0.1, 3.4.0.1, 7.8.0.1 |
3B, 7B |
$21672$ |
$768$ |
$21$ |
$1$ |
$9$ |
$3$ |
$0$ |
$487620$ |
$1.177013$ |
$3375/2$ |
$1.42657$ |
$2.95662$ |
$[1, -1, 1, 5200, 21061]$ |
\(y^2+xy+y=x^3-x^2+5200x+21061\) |
3.4.0.a.1, 7.8.0.a.1, 8.2.0.a.1, 21.64.1.a.2, 24.8.0.a.1, $\ldots$ |
$[]$ |
| 299538.u1 |
299538u1 |
299538.u |
299538u |
$1$ |
$1$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$172$ |
$2$ |
$0$ |
$2.550177190$ |
$1$ |
|
$0$ |
$1419264$ |
$1.720392$ |
$27437625/11008$ |
$0.85787$ |
$3.49636$ |
$[1, -1, 1, -50270, -2390035]$ |
\(y^2+xy+y=x^3-x^2-50270x-2390035\) |
172.2.0.? |
$[(-1535/3, 31873/3)]$ |
| 299538.v1 |
299538v1 |
299538.v |
299538v |
$1$ |
$1$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( 2^{4} \cdot 3^{10} \cdot 43^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$172$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$37255680$ |
$3.288265$ |
$4935129584625/2352135088$ |
$0.99337$ |
$4.97865$ |
$[1, -1, 1, -25538735, 20871329671]$ |
\(y^2+xy+y=x^3-x^2-25538735x+20871329671\) |
172.2.0.? |
$[]$ |
| 299538.w1 |
299538w2 |
299538.w |
299538w |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( - 2^{6} \cdot 3^{10} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$258$ |
$16$ |
$0$ |
$6.300832292$ |
$1$ |
|
$0$ |
$19160064$ |
$2.721554$ |
$-1742419004625/2752$ |
$0.95511$ |
$4.89609$ |
$[1, -1, 1, -18050285, 29521687573]$ |
\(y^2+xy+y=x^3-x^2-18050285x+29521687573\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 86.2.0.?, 129.8.0.?, 258.16.0.? |
$[(551929/15, -4819738/15)]$ |
| 299538.w2 |
299538w1 |
299538.w |
299538w |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( - 2^{2} \cdot 3^{6} \cdot 43^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$258$ |
$16$ |
$0$ |
$18.90249687$ |
$1$ |
|
$0$ |
$6386688$ |
$2.172245$ |
$-100544625/318028$ |
$0.91649$ |
$3.92161$ |
$[1, -1, 1, -161210, 63389989]$ |
\(y^2+xy+y=x^3-x^2-161210x+63389989\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 86.2.0.?, 129.8.0.?, 258.16.0.? |
$[(4963150309/4005, 411580644224113/4005)]$ |
| 299538.x1 |
299538x1 |
299538.x |
299538x |
$1$ |
$1$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( - 2^{3} \cdot 3^{4} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$344$ |
$2$ |
$0$ |
$5.705909894$ |
$1$ |
|
$2$ |
$931392$ |
$1.412418$ |
$-9/344$ |
$0.99965$ |
$3.19247$ |
$[1, -1, 1, -347, 638627]$ |
\(y^2+xy+y=x^3-x^2-347x+638627\) |
344.2.0.? |
$[(421, 8448)]$ |
| 299538.y1 |
299538y1 |
299538.y |
299538y |
$1$ |
$1$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( 2^{20} \cdot 3^{10} \cdot 43^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$172$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$58544640$ |
$3.282681$ |
$329141032560513/45088768$ |
$0.98899$ |
$5.31172$ |
$[1, -1, 1, -103568384, 405662836771]$ |
\(y^2+xy+y=x^3-x^2-103568384x+405662836771\) |
172.2.0.? |
$[]$ |
| 299538.z1 |
299538z1 |
299538.z |
299538z |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( - 2^{2} \cdot 3^{6} \cdot 43^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$516$ |
$128$ |
$1$ |
$22.09271746$ |
$1$ |
|
$0$ |
$943488$ |
$1.282793$ |
$-35937/4$ |
$1.00607$ |
$3.15815$ |
$[1, -1, 1, -11441, -511451]$ |
\(y^2+xy+y=x^3-x^2-11441x-511451\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.2, 129.8.0.?, 516.128.1.? |
$[(238325034919/3705, 115900565485779862/3705)]$ |
| 299538.z2 |
299538z2 |
299538.z |
299538z |
$2$ |
$3$ |
\( 2 \cdot 3^{4} \cdot 43^{2} \) |
\( - 2^{6} \cdot 3^{10} \cdot 43^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.8.0.2, 3.4.0.1 |
3B |
$516$ |
$128$ |
$1$ |
$7.364239155$ |
$1$ |
|
$0$ |
$2830464$ |
$1.832100$ |
$109503/64$ |
$1.28549$ |
$3.58105$ |
$[1, -1, 1, 71764, 719983]$ |
\(y^2+xy+y=x^3-x^2+71764x+719983\) |
3.4.0.a.1, 4.8.0.b.1, 12.64.1.b.1, 129.8.0.?, 516.128.1.? |
$[(40607/19, 21523303/19)]$ |
